Question

Here's a graph of a linear function. Write the

equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer
000
DONE
000

Answer 1

`\large\boxed{y=(1)/(4)x+3}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept → (0, b)

From the graph we have the points (4, 4) and (0, 3) → b = 3.

We have the equation:

`y=mx+3`

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

Put the coordinates of the points:

`m=(3-4)/(0-4)=(-1)/(-4)=(1)/(4)`

Finally we have:

`y=(1)/(4)x+3`